After you reach the broken house opposite Daud’s Hideout in The Surge, make your way to the top floor, where you will find one of your captured assassins. The Empress statue is located opposite you on the corner of the Hideout building. Blink on top of the statue and face down. Timing is very important.
NOTE: Save your progress here in case you need multiple attempts.
When you find an enemy within range, jump off the statue and attempt to land on top of them. Once you get close enough, the drop assassination icon should appear. Strike with your sword once you see it, and your drop assassination should be successful. A quick way to attract enemies is to shoot an Explosive Bolt at the bottom of the statue.